1. **Problem Statement**: Identify which of the given sets of ordered pairs represents a function. 2. **Definition of a Function**: A set of ordered pairs is a function if each input (first element of each pair) corresponds to exactly one output (second element). 3. **Check each set**: - Set T = $\{(1,2), (2,3), (3,4), (4,5)\}$: All inputs 1, 2, 3, 4 are unique and each maps to one output. It is a function. - Set A = $\{(1,2), (1,3), (3,4), (4,5)\}$: Input 1 maps to two outputs, 2 and 3. Not a function. - Set M = $\{(1,3), (1,4), (-1,3), (-2,4)\}$: Input 1 maps to two outputs, 3 and 4. Not a function. - Set S = $\{(1,3), (2,3), (-1,4), (-3,1)\}$: All inputs 1, 2, -1, -3 are unique with one output each. It is a function. 4. **Conclusion**: Sets T and S are functions. 5. **Typically in multiple choice, select one answer**. Since T is listed first and is a function, the correct answer is set T. **Final Answer: T = $\{(1,2), (2,3), (3,4), (4,5)\}$ represents a function.**